A Warrant? That's something from the middle ages isn't it? It's delivered by armed thugs clad in maile?
I bought a desktop in 2004 and got black screen after a year of RTW. I replaced the GPU, a year later I replaced the GPU again. After that the CPU started shutting down.
So in 2007 I got a new desktop.
Later on I looked over the 2004 desktop. I found one of the clips holding the CRU heatsink down had snapped and that's why it shutdown. So I got a new heatsink with new clips and that was fine.
Now I realize the problem with the GPU was it was running hot and frying the lubricant in the GPU fan, result in the fan stopping. Answer would be to pop the cover on the fan and re-lubricate the pinion with 2 or 3 drops of oil. In any case fixing the CPU heatsink down and replacing the GPU and 2004 machine works fine.
Playing Empire and Nappy on the 2007 desktop I noticed with 'SpeedFan' that the CPU was at 100C. After the warranty period I opened it up and found the crappy intel heatsink clips were loose. So I re silver pasted the heaksink on the CPU and after some hiccups the CPU nows runs at 50C.
Also I found the RAM fan cluster was a loose fitting and sitting on its side, so I corrected this. One of the RAM fans was very noisy so I re-lubricated that and its quite now.
When you say your machine is a "smoking hole", it may be simply be something similar to the above problems.
You can benefit by a better quality CPU heat-sink that simply ensures good contact and heat transfer. You can check the GPU fan and re-lubricate it. Some GPU's use pricey passive cooling to get around this problem.
Another problem area may be cooling for you RAM.
Simple fact is even your name brand laptop could benefit from some better quality cooling, but you pay money for this.